131 citations · 826 across the 43 of their papers we have counts for
4 papers · 1 filter
Bilinear Discrete Painleve-II and its Particular Solutions
J. Satsuma, K. Kajiwara, B. Grammaticos +2
By analogy to the continuous Painlevé II equation, we present particular solutions of the discrete Painlevé II (d-P) equation. These solutions are of rational and special…
Integrable Trilinear PDE's
J. Hietarinta, B. Grammaticos, A. Ramani
In a recent publication we proposed an extension of Hirota's bilinear formalism to arbitrary multilinearities. The trilinear (and higher) operators were constructed from the requir…
Multilinear Operators: The Natural Extension Of Hirota's Bilinear Formalism
B. Grammaticos, A. Ramani, J. Hietarinta
We introduce multilinear operators, that generalize Hirota's bilinear operator, based on the principle of gauge invariance of the functions. We show that these operators ca…
Non Proliferation of Preimages in Integrable Mappings
B. Grammaticos, A. Ramani, K. M. Tamizhmani
We present an integrability criterion for rational mappings based on two requirements. First, that a given point should have a unique preimage under the mapping and, second, that t…